f(x) = -4x^2+12x-9f(x)=−4x 2 +12x−9f, left parenthesis, x, right parenthesis, equals, minus, 4, x, squared, plus, 12, x, minus,
Olin [163]
Answer:
The graph has only one x-intercept
Step-by-step explanation:
we have
we know that
The discriminant of a quadratic equation of the form
is equal to
in this problem we have
so
substitute
The discriminant is zero
That means ----> The quadratic equation has one real solution
The graph has only one x-intercept
If the figures/solids are similar, the ratio of the areas is equal to the square of the ratio of the corresponding sides. Let x be the area of the second figure. The equation that would best allow us to answer this item is,
(394.2 in² / x in²) = (10.9 / 21.8)²
The value of x from the equation is 1576.8 in².
Thus, the nearest answer is the second choice.
Answer:
108
Step-by-step explanation:
2(1.5)(6^2)=3(36)=108
Answer:
see below
Step-by-step explanation:
x⁵ - 8x⁴ + 22x³ - 26x² + 21x - 18 = 0
x = 2, x = ± i, x=3 with multiplicity 2
-----------------------------------------------------
x⁴ - 5x³ + 7x² - 5x + 6 = 0
x = 2, x=3, x = ± i
--------------------------------------------------------
<u>-1 + 4i</u> = 4 + i
i
--------------------------------------------------------
x³ - 26x² + 21x - 18 = 0
x = ± 2i, x = 3/2
--------------------------------------------------------
(1 + i) (-3 - 4i)
= 1 - 7i
--------------------------------------------------------
6.
(-5 + 2i) + (3 - 6i)
= -2 -4i
--------------------------------------------------------
7.
x⁴ + 5x² + 4 = 0
x = ± i , x = ± 2i
--------------------------------------------------------
8.
(7 - i) - (-5 + 6i)
= 12 - 7i
--------------------------------------------------------
9.
(4 - i) (4 + i)
= 17
--------------------------------------------------------
10.
(3 + 8i) (4 - 3i)
= 36 + 23i
Answer:
Step-by-step explanation:
We are asked to multiply the given polynomials.
Multiply each term of the first polynomial to each term of the second polynomial.
Add the results
Combine the like terms
The answer is written in descending powers of x.
